Gerhard Frey

1.7k total citations
45 papers, 678 citations indexed

About

Gerhard Frey is a scholar working on Geometry and Topology, Information Systems and Mathematical Physics. According to data from OpenAlex, Gerhard Frey has authored 45 papers receiving a total of 678 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 11 papers in Information Systems and 10 papers in Mathematical Physics. Recurrent topics in Gerhard Frey's work include Algebraic Geometry and Number Theory (26 papers), Cryptography and Residue Arithmetic (11 papers) and Advanced Algebra and Geometry (8 papers). Gerhard Frey is often cited by papers focused on Algebraic Geometry and Number Theory (26 papers), Cryptography and Residue Arithmetic (11 papers) and Advanced Algebra and Geometry (8 papers). Gerhard Frey collaborates with scholars based in Germany, Canada and Austria. Gerhard Frey's co-authors include Hans-Georg Rück, Markus Müller, Moshe Jarden, Ernst Kani, Joachim Ritter, Tanja Lange, Roberto Avanzi, Claus Diem, Fréderik Vercauteren and Christophe Doche and has published in prestigious journals such as IEEE Transactions on Information Theory, Mathematics of Computation and Philosophy and Phenomenological Research.

In The Last Decade

Gerhard Frey

34 papers receiving 535 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Gerhard Frey Germany	12	376	329	300	136	105	45	678
Hans-Georg Rück Germany	10	417 1.1×	314 1.0×	201 0.7×	69 0.5×	42 0.4×	15	530
Hugh C. Williams Canada	14	244 0.6×	125 0.4×	175 0.6×	65 0.5×	132 1.3×	46	481
Arnaldo Garcia Brazil	16	680 1.8×	136 0.4×	469 1.6×	196 1.4×	149 1.4×	44	943
Alice Silverberg United States	11	116 0.3×	84 0.3×	275 0.9×	121 0.9×	110 1.0×	52	386
Hans Delfs Germany	11	138 0.4×	79 0.2×	163 0.5×	123 0.9×	122 1.2×	16	460
José Felipe Voloch United States	17	382 1.0×	121 0.4×	577 1.9×	223 1.6×	235 2.2×	88	906
François Morain France	10	305 0.8×	333 1.0×	173 0.6×	21 0.2×	68 0.6×	22	459
Hans Riesel Sweden	9	146 0.4×	83 0.3×	131 0.4×	38 0.3×	205 2.0×	40	447
Th. Zink Germany	4	227 0.6×	46 0.1×	145 0.5×	111 0.8×	34 0.3×	4	383
Daqing Wan United States	19	768 2.0×	110 0.3×	481 1.6×	264 1.9×	352 3.4×	102	1.1k

Countries citing papers authored by Gerhard Frey

Since Specialization

Citations

This map shows the geographic impact of Gerhard Frey's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gerhard Frey with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerhard Frey more than expected).

Fields of papers citing papers by Gerhard Frey

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerhard Frey. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gerhard Frey. The network helps show where Gerhard Frey may publish in the future.

Co-authorship network of co-authors of Gerhard Frey

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Frey. A scholar is included among the top collaborators of Gerhard Frey based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gerhard Frey. Gerhard Frey is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Cohen, Henri, Gerhard Frey, Roberto Avanzi, et al.. (2012). Handbook of Elliptic and Hyperelliptic Curve Cryptography, Second Edition. 2 indexed citations

2.

Frey, Gerhard & Tanja Lange. (2005). MATHEMATICAL BACKGROUND OF PUBLIC KEY CRYPTOGRAPHY. TU/e Research Portal. 4 indexed citations

3.

Diem, Claus & Gerhard Frey. (2003). Non-constant genus 2 curves with pro-Galois covers. arXiv (Cornell University). 1 indexed citations

4.

Frey, Gerhard & Ernst Kani. (2001). Curves with infinite K-rational geometric fundamental group. 11 indexed citations

5.

Frey, Gerhard, et al.. (1999). The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems. IEEE Transactions on Information Theory. 45(5). 1717–1719. 112 indexed citations

6.

Frey, Gerhard & Hans-Georg Rück. (1994). A remark concerning 𝑚-divisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation. 62(206). 865–874. 26 indexed citations

7.

Frey, Gerhard, et al.. (1991). Galois representations of octahedral type and 2-coverings of elliptic curves. Mathematische Zeitschrift. 207(1). 395–408. 11 indexed citations

8.

Frey, Gerhard, et al.. (1990). Properties of twists of elliptic curves.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1990(405). 1–28. 10 indexed citations

9.

Frey, Gerhard. (1987). Links Between Elliptic Curves and Solutions of A-B=C. Journal of the Indian Mathematical Society. 51. 117–145. 5 indexed citations

10.

Frey, Gerhard. (1986). A remark about isogenies of elliptic curves over quadratic fields. Compositio Mathematica. 58(1). 133–134. 8 indexed citations

11.

Frey, Gerhard. (1985). A relation between the value of theL-series of the curve:y 2=x 3?k 3 ins=1 and its Selmer group. Archiv der Mathematik. 45(3). 232–238. 2 indexed citations

12.

Frey, Gerhard. (1980). Theorie des Bewußtseins.

13.

Frey, Gerhard, et al.. (1978). Computation of the 2-rank of pure cubic fields. Mathematics of Computation. 32(142). 559–569. 11 indexed citations

14.

Frey, Gerhard, et al.. (1976). Sprache Und Erkenntnis Festschrift F. Gerhard Frey Zum 60. Geburtstag. 1 indexed citations

15.

Frey, Gerhard. (1973). Pseudo algebraically closed fields with non-Archimedean real valuations. Journal of Algebra. 26(2). 202–207. 14 indexed citations

16.

Frey, Gerhard. (1970). Philosophie und Wissenschaft : eine Methodenlehre. W. Kohlhammer eBooks. 1 indexed citations

17.

Frey, Gerhard. (1970). Hermeneutische und hypothetisch-deduktive Methode. Journal for General Philosophy of Science. 1(1). 24–40. 8 indexed citations

18.

Frey, Gerhard. (1967). Die Mathematisierung unserer Welt. W. Kohlhammer eBooks. 7 indexed citations

19.

Frey, Gerhard. (1965). Sprache : Ausdruck des Bewußtseins. Kohlhammer eBooks.

20.

Frey, Gerhard, et al.. (1964). Manierismus als europäische Stilerscheinung : Studien zur Kunst des 16. und 17. Jahrhunderts. W. Kohlhammer eBooks.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact